Theory and analysis of MHD waves and oscillations in the solar corona; MHD coronal seismology; theory of nonlinear waves and oscillations; theory and analysis of quasi-periodic pulsations in solar flares; theory of prominence oscillations; physics of solar radio bursts; analysis of non-stationary, nonlinear, and short-lived solar oscillatory signals with FFT, wavelets, and EMD; Hilbert-Huang Transform analysis; Bayesian analysis; Markov Chain Monte-Carlo (MCMC) method; programming in IDL, Maple, Python.